User Account

All Pages

Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Change to palindrome, A palindrome is a string that reads the same from bot...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Vectors, A body which has three forces acting on it is in equilibrium. One ...

A body which has three forces acting on it is in equilibrium. One force is 3N to the North and the other is 4N to the west. What us the magnitude and direction of the third force?

Write short note on classes in c++, Introduction to Classes Object-orie...

Introduction to Classes Object-oriented programming (OOP) is a conceptual approach to design programs. It can be executed in many languages, whether they directly support OOP c

Computer security and operating system, The Shortest Job Next (SJN) algorit...

The Shortest Job Next (SJN) algorithm queues processes in a way that the ones that use the shortest CPU cycle will be selected for running rst. Shortest remaining time rst algori

Ms Dos, What is Ms dos?

What is Ms dos?

Management, the issue of oil spills

the issue of oil spills

C program that controls the uart, Objective: Construct a C program tha...

Objective: Construct a C program that controls the UART, and is capable of displaying strings. Echo characters received on the UART to the LCD screen Outcome: A mess

C programming a video player, FIT 3042 System Tools and Programming Languag...

FIT 3042 System Tools and Programming Languages Semester 1 2013 Assignment 1 An SDL video player for a custom video format Worth: 20% of final mark. Must be completed individually

Tells the operators one can override; which operators , Q:  Tells the opera...

Q:  Tells the operators one can override; which operators should he override? A: Bottom line: don't puzzle your users. Remember the reason of operator overloading: to decreas

Explain access privileges, Access privileges 1. If the designer of the ...

Access privileges 1. If the designer of the base class needs no one, not even a derived class to access a member, then that member should be made private. 2. If the designer

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd